Pith Number

pith:2BR2URIH

pith:2019:2BR2URIHQHIYZJLZM2C45PR45Q

not attested not anchored not stored refs pending

Invariant theory for coincidental complex reflection groups

Anne V. Shepler, Eric Sommers, Victor Reiner

arxiv:1908.02663 v2 · 2019-08-07 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BR2URIHQHIYZJLZM2C45PR45Q}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T00:03:17.021267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d063aa450781d18ca5796685cebe3cec1172e19eb8fadbd11ece67059274a3aa

Aliases

arxiv: 1908.02663 · arxiv_version: 1908.02663v2 · doi: 10.48550/arxiv.1908.02663 · pith_short_12: 2BR2URIHQHIY · pith_short_16: 2BR2URIHQHIYZJLZ · pith_short_8: 2BR2URIH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2BR2URIHQHIYZJLZM2C45PR45Q \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d063aa450781d18ca5796685cebe3cec1172e19eb8fadbd11ece67059274a3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "121a67bbba1172c43c6453a89eece9cf338630a1200999d9d61f590ce97c2745",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-07T14:44:09Z",
    "title_canon_sha256": "8e0f9d4d0e050e9629d70c172653734608b5e35ce17cc78b2df6d9ca70d17090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02663",
    "kind": "arxiv",
    "version": 2
  }
}